Results 11 to 20 of about 41,978 (137)
Filomat, 2020 Let G be a simple connected graph of order n and size m, vertex degree sequence d1 ? d2 ?...? dn > 0, and let ?1 ? ? 2 ? ... ? ?n-1 > ?n = 0 be the eigenvalues of its Laplacian matrix. Laplacian energy LE, Laplacian-energy-like invariant LEL and Kirchhoff index Kf, are graph invariants defined in terms of Laplacian eigenvalues.
Predrag Milošević +3 more
semanticscholar +5 more sources
Some bounds for distance signless Laplacian energy-like invariant of networks
Carpathian Mathematical PublicationsFor a graph or network $G$, denote by $D(G)$ the distance matrix and $Tr(G)$ the diagonal matrix of vertex transmissions. The distance signless Laplacian matrix of $G$ is $D^{Q}(G)=Tr(G)+D(G)$. We introduce the distance signless Laplacian energy-like invariant as $DEL(G)=\sum_{i=1}^{n}\sqrt{\rho_{i}}$, where $\rho_{1}\geq\rho_{2}\geq \dots\geq \rho_{n}$
Abdollah Alhevaz +3 more
semanticscholar +4 more sources
Extremal Laplacian-energy-like invariant of graphs with given matching number
The Electronic Journal of Linear Algebra, 2013 Abstract. Let G be a graph of order n with Laplacian spectrum µ 1 ≥ µ 2 ≥ ··· ≥ µ n . TheLaplacian-energy-like invariant of graph G, LEL for short, is defined as: LEL(G) = n P −1k=1 √µ k . In thisnote, the extremal (maximal and minimal) LEL among all the connected graphs with given matchingnumber is determined.
Kexiang Xu, Kinkar Chandra Das
semanticscholar +4 more sources
On the Laplacian-energy-like invariant
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das +2 more
semanticscholar +4 more sources
On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs
Linear Algebra and its Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das, İvan Gutman
semanticscholar +3 more sources
Comparison between Kirchhoff index and the Laplacian-energy-like invariant
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Chandra Das +2 more
semanticscholar +4 more sources
Coulson-type integral formulas for the general Laplacian-energy-like invariant of graphs I
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu Qiao +3 more
semanticscholar +4 more sources
The Laplacian-Energy-Like Invariants of Three Types of Lattices [PDF]
Journal of Analytical Methods in Chemistry, 2016 This paper mainly studies the Laplacian-energy-like invariants of the modified hexagonal lattice, modified Union Jack lattice, and honeycomb lattice. By utilizing the tensor product of matrices and the diagonalization of block circulant matrices, we derive closed-form formulas expressing the Laplacian-energy-like invariants of these lattices.
Zheng-Qing Chu +2 more
openalex +4 more sources
Some improved bounds on two energy-like invariants of some derived graphs [PDF]
Open Mathematics, 2019 Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
doaj +2 more sources
On two energy-like invariants of line graphs and related graph operations
Journal of Inequalities and Applications, 2016 For a simple graph G of order n, let μ 1 ≥ μ 2 ≥ ⋯ ≥ μ n = 0 $\mu_{1}\geq\mu_{2}\geq\cdots\geq\mu_{n}=0$ be its Laplacian eigenvalues, and let q 1 ≥ q 2 ≥ ⋯ ≥ q n ≥ 0 $q_{1}\geq q_{2}\geq\cdots\geq q_{n}\geq0$ be its signless Laplacian eigenvalues.
Xiaodan Chen, Yaoping Hou, Jingjian Li
doaj +3 more sources